QuestionDivide $1 \frac{3}{4}$ by $3 \frac{2}{3}$ .

Studdy Solution

STEP 1

Assumptions1. We are dividing two mixed numbers. . The division operation is performed from left to right.

STEP 2

First, we need to convert the mixed numbers into improper fractions.For $1 \frac{}{4}$ , the improper fraction is calculated as follows $1 \frac{}{4} =1 + \frac{}{4} = \frac{4}{4} + \frac{}{4} = \frac{7}{4}$

STEP 3

Similarly, for $3 \frac{2}{3}$ , the improper fraction is calculated as follows $3 \frac{2}{3} =3 + \frac{2}{3} = \frac{9}{3} + \frac{2}{3} = \frac{11}{3}$

STEP 4

Now, we can perform the division operation. However, dividing fractions is the same as multiplying by the reciprocal of the divisor. So, we will multiply $\frac{7}{4}$ by the reciprocal of $\frac{11}{3}$ .
$\frac{7}{4} \div \frac{11}{3} = \frac{7}{4} \times \frac{3}{11}$

STEP 5

Multiply the numerators together and the denominators together to get the answer.
$\frac{7}{4} \times \frac{3}{11} = \frac{7 \times3}{4 \times11} = \frac{21}{44}$ So, $1 \frac{3}{4} \div3 \frac{2}{3} = \frac{21}{44}$ .

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